Current location - Training Enrollment Network - Mathematics courses - Let's hold a math contest for the sixth grade.
Let's hold a math contest for the sixth grade.
1. Party A, Party B and Party C plant trees in two plots A and B respectively, with 900 trees in plot A and 0/250 trees in plot B. It is known that Party A, Party B and Party C can plant 24, 30 and 32 trees every day, of which Party A plants trees in plot B, and Party B plants trees in plot A first and then moves to plot B..

2. There are three grasslands with an area of 5 15 and 24 mu respectively. The grass on the grassland is as thick and grows as fast. The first grassland can feed 10 cows for 30 days, and the second grassland can feed 28 cows for 45 days. How many cows can eat on the third grass for 80 days?

3. A project, contracted by both parties, can be completed in 2.4 days and needs to be paid 1800 yuan; Contracted by Team B and Team C, it can be completed in 3+3/4 days, and it needs to be paid 1500 yuan; Contracted by two teams, Party A, Party B and Party C, it can be completed in 2+6/7 days at a cost of 1.600 yuan. On the premise of ensuring the completion within one week, which team will spend the least?

There is a rectangular iron block in the cylindrical container. Now turn on the tap and pour the water into the container. In 3 minutes, the water surface is just above the top of the cuboid. /kloc-After 0/8 minutes, the container has been filled with water. It is known that the height of a container is 50 cm and the height of a cuboid is 20 cm. Find the ratio of the bottom area of a cuboid to the bottom area of a container.

Two bosses, A and B, bought a fashion at the same price, and B bought 1/5 sets more than A, and then they sold them at profit margins of 80% and 50% respectively. After both of them were sold out, A still made more profits than B, just enough for him to buy 65,438+00 sets of this fashion, which A bought at the beginning.

6. There are two water pipes A and B, and water is injected into two pools with the same size at the same time. At the same time, the water injection ratio of A and B is 7: 5. After 2+ 1/3 hours, the sum of the water injected into A and B is just a pool. At this time, the water injection rate of pipe A is increased by 25%, while pipe B remains unchanged.

Xiao Ming walks from home to school in the morning. When he ran halfway, his father found that Xiao Ming's math book was left at home, and then he rode to deliver it to Xiao Ming. When he caught up, Xiao Ming still had 3/ 10 to go. Xiao Ming got on his father's car at once and was sent to school by his father, so Xiao Ming arrived at school five minutes earlier than walking alone. How long does it take Xiaoming to walk from home to school?

8. Car A and car B both start from place A and pass through place B to place C. The distance between the two places is equal to the distance from place B to place C. The speed of car B is 80% of that of car A. It is known that car B started earlier than car A 1 1 minute, but stayed in place B for 7 minutes, but car A drove all the way to place C. Finally, car B was later than car A..

9. Two cleaning vehicles, A and B, perform road cleaning tasks between things. It takes 10 hour for car A to be cleaned alone, and 15 hour for car B to be cleaned alone. Two cars leave from east and west at the same time. When they met, car A was cleaner than car B12km. How many kilometers is it between East and West?

/kloc-4 containers of 0/0.3 tons, 5 containers of 2.5 tons, 1 0.5 tons/4 containers, and 7 containers of1ton. So how many cars with a load of 4.5 tons are needed to transport all the containers at once?

Comprehensive Training of Mathematical Application Problems in Primary Schools (02)

1 1. Both the master and the apprentice * * * processed 170 parts, and the number of parts processed by the master was 1/3 more than that processed by the apprentice, so how many parts did the apprentice process?

12. Both a cart and a car drive from A to B, and the speed of the cart is 80% of that of the car. It is known that the big car started 17 minutes earlier than the small car, but it stopped at the midpoint of the two places for 5 minutes before continuing to B. However, after the small car started, it went straight to the second place without stopping. Finally, the bus came second before the bus. It is also known that the bus departs from the first place at 10 in the morning. So when did the bus catch up with the bus in the morning?

13. For a manuscript, it takes 14 hours for Party A to type alone, and 20 hours for Party B to type alone. If Party A types 1 hour first, then Party B types 1 hour instead of Party A, and then Party A types 1 hour instead of Party B. .................................................................

1There are 3 yellow balloons in 4.2 yuan and 2 flower balloons in 3 yuan. The school * * * bought 32 balloons, 4 of which were fewer than yellow balloons. What balloons do schools spend more money on?

15. The sailing speed is 60m/min. In a river with a current speed of 20 meters per minute, the ship travels from the upstream port to the downstream place, and then returns to its original place. * * * How many meters did the ship walk from the upstream port to the downstream in 3 hours and 30 minutes?